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Authors: Stylianos Georgiadis 1 ; Pascal Moyal 1 ; Tamás Bérczes 2 and János Sztrik 2

Affiliations: 1 Université de Technologie de Compiègne, France ; 2 University of Debrecen, Hungary

Keyword(s): Engset Model, Fluid Limit, Semi-martingale Decomposition, Retrial Queues.

Related Ontology Subjects/Areas/Topics: Mathematical Modeling ; Methodologies and Technologies ; Operational Research ; Queuing Theory ; Stochastic Processes

Abstract: We represent the classical Engset-loss model by the stochastic process counting the number of customers in the system. A fluid limit for this process is established for all the possible values of the various parameters of the system, as the number of servers tends to infinity along with the number of sources. Our results are derived through a semi-martingale decomposition method. A numerical application is provided to illustrate these results. Then, we represent a finite-source retrial queue considering in addition the number of sources in orbit. Finally, we extend the fluid limit results to a retrial queueing system, discussing different cases.

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Paper citation in several formats:
Georgiadis, S.; Moyal, P.; Bérczes, T. and Sztrik, J. (2013). A Fluid Limit for the Engset Model - An Application to Retrial Queues. In Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - ICORES; ISBN 978-989-8565-40-2; ISSN 2184-4372, SciTePress, pages 117-122. DOI: 10.5220/0004203101170122

@conference{icores13,
author={Stylianos Georgiadis. and Pascal Moyal. and Tamás Bérczes. and János Sztrik.},
title={A Fluid Limit for the Engset Model - An Application to Retrial Queues},
booktitle={Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - ICORES},
year={2013},
pages={117-122},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004203101170122},
isbn={978-989-8565-40-2},
issn={2184-4372},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Operations Research and Enterprise Systems - ICORES
TI - A Fluid Limit for the Engset Model - An Application to Retrial Queues
SN - 978-989-8565-40-2
IS - 2184-4372
AU - Georgiadis, S.
AU - Moyal, P.
AU - Bérczes, T.
AU - Sztrik, J.
PY - 2013
SP - 117
EP - 122
DO - 10.5220/0004203101170122
PB - SciTePress